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math.CA2013★ 3 cited
Asymptotic analysis of the SVD for the truncated Hilbert transform with overlap
Reema Al-Aifari, Michel Defrise, Alexander Katsevich
The truncated Hilbert transform with overlap is an operator that arises in tomographic reconstruction from limited data, more precisely in the method of Differentiated Back-P…
math.CA2013
Lower bounds for the truncated Hilbert transform
Rima Alaifari, Lillian B. Pierce, Stefan Steinerberger
Given two intervals , we ask whether it is possible to reconstruct a real-valued function from knowing its Hilbert transform on . Wh…